Movement of Intransitive Permutation Groups Having Maximum Degree  

Movement of Intransitive Permutation Groups Having Maximum Degree

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作  者:Mehdi ALAEIYAN Mehdi REZAEI 

机构地区:[1]School of Mathematics,Iran University of Science and Technology

出  处:《Chinese Annals of Mathematics,Series B》2012年第1期143-148,共6页数学年刊(B辑英文版)

摘  要:Let G be a permutation group positive integer. Then the movement of G on a set Ω with no fixed points in Ω, and m be a is defined as move(G):=supГ{[Г^9 /Г||g ∈ G}. It F was shown by Praeger that if move(G) = m, then |Ω| ≤ 3m + t - 1, where t is the number of G-orbits on ≤. In this paper, all intransitive permutation groups with degree 3m + t - 1 which have maximum bound are classified. Indeed, a positive answer to her question that whether the upper bound |Ω| = 3m + t - 1 for |Ω| is sharp for every t 〉 1 is given.

关 键 词:Intransitive permutation groups Bounded movement ORBIT 

分 类 号:O152.1[理学—数学] S823.4[理学—基础数学]

 

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